Chapter 15: Area and Perimeter - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 15
- •Questions are arranged as per CBSE paper pattern
- •Section A: 8 questions × 1 mark = 8 marks
- •Section B: 8 questions × 2 marks = 16 marks
- •Section C: 4 questions × 4 marks = 16 marks
- •No negative marking
- •Show all steps in your calculations
- •Use π = 22/7 for circle problems unless stated otherwise
Mock Test Questions
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. Perimeter of a rectangle with length 12 cm and breadth 8 cm is:
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Answer: 40 cm (P = 2(12+8) = 2×20 = 40 cm)
2. Area of a square with side 6 cm is:
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Answer: 36 cm² (A = 6² = 36 cm²)
3. The height in the formula for triangle area must be:
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Answer: Perpendicular to the base
4. What is the relationship between radius and diameter?
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Answer: Diameter = 2 × Radius
5. Circumference of a circle with radius 3.5 cm (π = 22/7):
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Answer: 22 cm (C = 2πr = 2 × (22/7) × 3.5 = 22 cm)
6. Area of a rectangle is 48 cm² and its length is 8 cm. Breadth is:
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Answer: 6 cm (A = l × b, so 48 = 8 × b, b = 6 cm)
7. If perimeter of square is 28 cm, its side is:
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Answer: 7 cm (P = 4a, so 28 = 4a, a = 7 cm)
8. Approximate value of π is:
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Answer: 22/7 or 3.14
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. A triangular field has base 20 m and height 15 m. Find its area.
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Answer: Area = (1/2) × 20 × 15 = 10 × 15 = 150 m²
10. A circular plate has radius 7 cm. Find its circumference (π = 22/7).
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Answer: C = 2πr = 2 × (22/7) × 7 = 2 × 22 = 44 cm
11. Find area of circle with radius 7 cm (π = 22/7).
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Answer: A = πr² = (22/7) × 49 = 22 × 7 = 154 cm²
12. Rectangle has perimeter 40 cm and length 12 cm. Find breadth and area.
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Answer: P = 2(l+b), 40 = 2(12+b), 20 = 12+b, b = 8 cm Area = 12 × 8 = 96 cm²
13. A square has area 81 cm². Find its perimeter.
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Answer: A = a², 81 = a², a = 9 cm Perimeter = 4 × 9 = 36 cm
14. Compare: Which has more area - square with side 5 cm or rectangle 6×4 cm?
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Answer: Square area = 25 cm², Rectangle area = 24 cm² Square has more area
15. Find circumference of circle with diameter 10.5 cm (π = 22/7).
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Answer: C = πd = (22/7) × 10.5 = (22/7) × (21/2) = 11 × 3 = 33 cm
16. A triangle has base 10 cm. If its area is 35 cm², find height.
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Answer: A = (1/2) × b × h 35 = (1/2) × 10 × h 35 = 5h h = 7 cm
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. A rectangular garden is 30 m × 20 m. Cost to fence at Rs. 15/m and cost to maintain at Rs. 5/m². Find total cost.
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Answer: Perimeter = 2(30 + 20) = 100 m Cost of fencing = 100 × 15 = Rs. 1500 Area = 30 × 20 = 600 m² Cost of maintenance = 600 × 5 = Rs. 3000 Total cost = 1500 + 3000 = Rs. 4500
18. A circular track has radius 35 m. If Rohan runs around it 3 times, how much distance does he cover? (π = 22/7)
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Answer: Circumference = 2πr = 2 × (22/7) × 35 = 2 × 22 × 5 = 220 m Distance for 3 rounds = 3 × 220 = 660 m
19. A rectangular field 40 m × 30 m is to be divided into square plots of side 5 m. How many plots can be made?
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Answer: Area of field = 40 × 30 = 1200 m² Area of one square plot = 5² = 25 m² Number of plots = 1200 ÷ 25 = 48 plots
20. Two circles have radii 7 cm and 14 cm. Find ratio of their circumferences and ratio of their areas.
Show Answer
Answer: Circle 1: C₁ = 2πr₁ = 2π(7) = 14π cm Circle 2: C₂ = 2πr₂ = 2π(14) = 28π cm Ratio of circumferences = 14π : 28π = 1 : 2 Circle 1: A₁ = πr₁² = π(7)² = 49π cm² Circle 2: A₂ = πr₂² = π(14)² = 196π cm² Ratio of areas = 49π : 196π = 1 : 4
Marking Scheme & Evaluation
Section A (1 Mark)
1 mark for correct answer. No partial marking.
Section B (2 Marks)
- • Correct answer with working: 2 marks
- • Correct working but minor error: 1 mark
- • Wrong answer without proper steps: 0 marks
Section C (4 Marks)
- • Correct answer with all steps: 4 marks
- • Correct approach but minor errors: 3 marks
- • Partially correct (≥50% work): 2 marks
- • Some relevant working shown: 1 mark
- • No attempt or completely wrong: 0 marks
Performance Analysis
36-40 marks: Excellent! You have mastered the chapter.
30-35 marks: Very Good! Strong understanding of area and perimeter.
24-29 marks: Good! Practice more problems, focus on weaker areas.
18-23 marks: Average. Review formulas and solve more examples.
Below 18 marks: Need improvement. Study fundamentals again.
Exam Preparation Tips
- ✓Write formulas clearly and identify what to use before calculating
- ✓Always verify units: perimeter (cm, m), area (cm², m²)
- ✓For circles, use π = 22/7 unless asked otherwise
- ✓Draw diagrams for triangles showing perpendicular height
- ✓Read word problems carefully to identify perimeter vs area requirements